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Finding the Fourth Proportional to 20,186.46, 30,283.47 and 7,038.54

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Solution

The fourth proportional to 20,186.46, 30,283.47 and 7,038.54 is: 10,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.46 : 30,283.47 = 7,038.54 : x
  2. Step 2: Convert to fraction form
    20,186.46/30,283.47 = 7,038.54/x
  3. Step 3: Cross multiply
    20,186.46x = 30,283.47 × 7,038.54
  4. Step 4: Simplify right side
    20,186.46x = 213,151,414.93
  5. Step 5: Solve for x
    x = 213,151,414.93/20,186.46
  6. Step 6: Final answer
    x = 10,559.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.